Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 38, 381, 361, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 381, 361, 477 is 1
GCD(38, 381, 361, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 381, 361, 477 is 1
GCD(38, 381, 361, 477) = 1
Given Input numbers are 38, 381, 361, 477
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 38, 381, 361, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 381, 361, 477 is 1.
Therefore, GCD of numbers 38, 381, 361, 477 is 1
Given Input Data is 38, 381, 361, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 381 is 3 x 127
Prime Factorization of 361 is 19 x 19
Prime Factorization of 477 is 3 x 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(38, 381) = 14478
GCD(38, 381) = ( 38 x 381 ) / 14478
GCD(38, 381) = 14478 / 14478
GCD(38, 381) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 38, 381, 361, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 381, 361, 477?
GCD of 38, 381, 361, 477 is 1
2. Where do I get the detailed procedure to find GCD of 38, 381, 361, 477?
You can find a detailed procedure to find GCD of 38, 381, 361, 477 on our page.
3. How to find GCD of 38, 381, 361, 477 on a calculator?
You can find the GCD of 38, 381, 361, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.